Loop quantum cosmology and spin foams
| Autor: | Miguel Campiglia, Adam Henderson, Abhay Ashtekar |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Physics
Nuclear and High Energy Physics 010308 nuclear & particles physics Hilbert space FOS: Physical sciences Spin foam General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Vertex (geometry) symbols.namesake Theoretical physics Classical mechanics Quantum cosmology Group field theory 0103 physical sciences Path integral formulation symbols Perturbation theory (quantum mechanics) 010306 general physics Loop quantum cosmology |
| Zdroj: | Physics Letters B. 681:347-352 |
| ISSN: | 0370-2693 |
| DOI: | 10.1016/j.physletb.2009.10.042 |
| Popis: | Loop quantum cosmology (LQC) is used to provide concrete evidence in support of the general paradigm underlying spin foam models (SFMs). Specifically, it is shown that: i) the physical inner product in the timeless framework equals the transition amplitude in the deparameterized theory; ii) this quantity admits a %convergent vertex expansion a la SFMs in which the $M$-th term refers just to $M$ volume transitions, without any reference to the time at which the transition takes place; iii) the exact physical inner product is obtained by summing over just the discrete geometries; no `continuum limit' is involved; and, iv) the vertex expansion can be interpreted as a perturbative expansion in the spirit of group field theory. This sum over histories reformulation of LQC also addresses certain other issues which are briefly summarized. 11 pages, no figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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